Beerco manufactures ale and beer from corn, hops and malt. Currently 40lb of corn, 30 lb of hops, and 40 lb of malt are availaible. A barrel of ale sells for 40dollars and requires 1 lb of corn, 1 lb of hops and 2lb of malt. A barrel of beere sells for 50 dollars and requires 2lb of corn , 1lb of hops and 1lb of malt. Beerco can sell all ale and beer that is produced. Asusumed that Beerco's goal is to maximize total sales revenue and solve the following LP
maz z = 40A + 50B
s.t A + 2B ≤ 40
A + B ≤ 30
2A + B ≤ 40 where A = barrels of ALE produced and B= barrels of BEER produced graphically find the range of values for the price of A for which the current basis remain optimal.